Part II: An integrator liquid level system having two inflows is combined with an orifice meter for flow metering and a control valve for manipulating one inflow. The flow meter gives first order lag with gain and time constant values of 0.5kPa/(m3/s) and 1s, respectively; whereas the control valve shows first order with time delay dynamics (gain: 8m3/s/kPa; time constant: 2s; time delay: 1s). Data: Area =2m2, density =1000kg/m3 A) What's the process transfer function Gp in the above diagram? B) Fill in the 3 blocks for a proportional controller with Kc=2 C) Is the closed loop feedback process stable with Kc=2 ? Briefly prove